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Research Habilitation 2010

Research activities

My research interests lie in the area of applied mathematics with a particular focus on optimization based methods in control theory and on numerical analysis for Hamilton-Jacobi equations:
  • Optimal control theory, Hamilton-Jacobi Equations, feedbak control laws
  • Numerical methods for front propagation, Numerical analysis and Error estimates theory for first and second order Hamilton-Jacobi equations
  • Reachability analysis, motion planning and obstacle avoidance
  • optimal control of hybrid systems equations.

Research Programmes:
  • FP7 European project SADCO - Sensitivity Analysis for Deterministic Controller Design, (Marie Curie Initial Training Network), 2011 --2014
  • "Trajectory Optimisation for the space launcher Ariane V" (with O. Bokanowski, A. Désilles), supported by CNES, 2006 - 2010 and 2012-2013
  • DGA Grant 2007-09 "HJB approach for motion planning"; 2009-12 "Trajectory optimization for complex dynamical systems"; 2012-15 "Optimal control problems with uncertainties and probabilistic state constraints"
  • "Energy management for Hybrid vehicles", supported by Renault-Technocentre, 2009 - 2012

Short curriculum vitae

Teaching activities

  • Graduate course on "Optimal Control", at Ensta ParisTech (also in Master cursus of University Orsay, 2006-2010).
  • Graduate course on "Numerical approximations for front propagation problems", Ensta Paris Tech, and also at Ecole Centrale de Paris (with Ch. Chalons).
  • Undergraduate course on `` Optimisation'', Ensta ParisTech
  • Responsible of the graduate modulus at Ensta ParisTech: ``Control of nonlinear systems (84 h)`` since 2009, and ``Operational research (168h)`` from 2002 to 2008.

Other activities

- Deputy leader of the project-team COMMANDS (Inria Saclay, ENSTA ParisTEch, Ecole Polytechnique), until dec. 2014.
- Full member at CNU-National Universities Committee (section 26: Applied Mathematics), since 2011.
- Member of the groupe SMAI-MODE, since 2016.
- Elected member of the scientific council of " FMJH- Fondation Mathématique Jacques Hadamard", since 2016.


Papers in peer-reviewed journals


Edited book

International conferences with proceedings

Conferences without proceedings

Research reports

Lecture note

Other publication